This text is designed for a course typically given in the junior or senior year, addressed to scientists (especially physicists and chemists) and engineers, detailing various topics in mathematics that arise in those disciplines. Generally these courses assume some knowledge of physics, and a mathematical background that consists of an introductory sequence through multivariate calculus, and fi...

The authors review and project their group’s work in reaction engineering, electrokinetics, thin-film lubrication/wetting, biosensing, mass spectrometry, etc., that share one common mathematical underpinning: singularities. These can be geometric singularities of actual surfaces or objects, where focused electrical, acoustic, optical and shear-stress fields produce anomalous physical phenomena ...

Structural engineering is a discipline with a distinguished history in its own right with its landmark monuments and famous personalities from centuries past to the present [1, 2]. Moreover, it is also a discipline that relies on rich nonlinear mathematics as its basis. The aim of this article to show some of the interesting features and practical relevance of nonlinear mathematics in the behav...

The aim of precision engineering is the accurate control of geometry. For this reason, mathematics has a long association with precision engineering: from the calculation and correction of angular scales used in surveying and astronomical instrumentation to statistical averaging techniques used to increase precision. This study illustrates the enabling role the mathematical sciences are playing...

Engineering Technology (ET) is often combined with that of Engineering. Although based on a more hands-on approach and theoretical approach, the two majors share very similar pedagogy in teaching students same engineering scientific principles. An observation by an ET professor found than not would eschew use mathematical computations instead provide answers they believe to be correct, without ...